5

V16 1 82 ~ du...

Question

V16 1 82 ~ du

V16 1 82 ~ du



Answers

Subtract. $$12-82$$

Let's reduce 120 80 seconds to its simplest form. When you look at this, you can see that it ends in a zero in a two, which means that these air both even members even numbers air always divisible by two So we can divide 1 20 by two, which is 60 and 82 divided by two, which is 41 now. 41 happens to be a prime number. So we are done. 60 is not divisible by 41 evenly so six.

Probably a traditional 8 18 38 Victoria over 893 a story in which is a story of four or five story, which is any times seven times six times on securing over five factorial, so it's equally toe the increases.

Because even the be the lead from recorder it will be. And are we equipped to the n factorial divided by n minus R Victoria and in discussion with him the any coach Ain't I got you fall? If we get the name factorial divided by eight minutes Far Vittorio, then we get the in for Terry and your bunion by farm. Victorio, Bycatch, Traitor! We do it and then we get they come. June 1680 on down to me The answer.

This problem asks us to find the loss in verse of E to the minus two s over s minus. What? And a good rule of thumb when you're trying to find a plus in verse is to split up your term. So that's a little bit more recognisable when you go to your tables. So here we're gonna pull out e to the negative to s. And we're going to say that is multiplied by one over s my s one. You know, the easiest term here to find a plus in verse. Is this here? And we know that e to the minus a s Neill Applause Inverse of that is our unit. Step a little trinket over here. The plus in verse of E to the minus eight s equals our unit. Step turning on at T equals a So looking at each of the minus two s, you'll applause inverse of that need to the minus two s. We know that's going to equal you to the T minus two. Okay, so for the second term here, we're gonna look at our tables and we know that, um, one over s plus a equals no excuse beetle plus inverse equals goes to will say e to the minus anti. So when we look at these two terms, we can say that our A is equal to negative one here. So when we take the applause in verse of one over s minus one, there you go Equals E now. Ah, minus minus. Since we have a minus A t and R az minus one. When we take it, a plot inverse of this, we're just gonna end up with e to the T. So now that we have Philip lost fingers off both of those terms up there, we are going to remember that what we want to dio is we want to put this together into a form that looks like this. So f t minus a U T minus a. So to do that, we know that when we took the inverse slope loss of f of s, we got each of the tea so we can write off to the side. We know that f of t is equal to e to the T, but what we want is we want to make sure we get f A T into half of T minus a. So if of t minus a turns out to be e and we know that a here equals two. So we're gonna have t minus two. This is our a term here, So T minus two. So only put this all together. Asked a team of T minus a multiplied by U of T minus A. We will have e to the T minus two multiplied by you. T minus two. This is the inverse LaPlace.


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